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Finding the Third Proportional to 686,478.80 and 1,493,362.20

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Solution

The third proportional to 686,478.80 and 1,493,362.20 is: 3,248,651.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,478.80 : 1,493,362.20 = 1,493,362.20 : x
  2. Step 2: Convert to fraction form
    686,478.80/1,493,362.20 = 1,493,362.20/x
  3. Step 3: Cross multiply
    686,478.80x = 1,493,362.20 × 1,493,362.20
  4. Step 4: Simplify right side
    686,478.80x = 2,230,130,646,388.57
  5. Step 5: Solve for x
    x = 2,230,130,646,388.57/686,478.80
  6. Step 6: Final answer
    x = 3,248,651.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.